Homomorphisms into mapping class groups. An addendum

Abstract

This is an addendum to arXiv: 0810.5376. We show, using our methods and an auxiliary result of Bestvina-Bromberg-Fujiwara, that a finitely generated group with infinitely many pairwise non-conjugate homomorphisms to a mapping class group virtually acts non-trivially on an $\mathbb{R}$-tree, and, if it is finitely presented, it virtually acts non-trivially on a simplicial tree

7 pages; v2: fixed some misprints, the paper is accepted in Proc. LMS

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